513161305 has 12 divisors (see below), whose sum is σ = 622012716. Its totient is φ = 406424000.

The previous prime is 513161281. The next prime is 513161339. The reversal of 513161305 is 503161315.

It can be written as a sum of positive squares in 6 ways, for example, as 140825689 + 372335616 = 11867^2 + 19296^2 .

It is a de Polignac number, because none of the positive numbers 2^k-513161305 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 513161305.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45975 + ... + 56035.

It is an arithmetic number, because the mean of its divisors is an integer number (51834393).

Almost surely, 2^513161305 is an apocalyptic number.

It is an amenable number.

513161305 is a deficient number, since it is larger than the sum of its proper divisors (108851411).

513161305 is a wasteful number, since it uses less digits than its factorization.

513161305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10268 (or 10167 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 25.

The square root of 513161305 is about 22653.0639208033. The cubic root of 513161305 is about 800.6043896306.

The spelling of 513161305 in words is "five hundred thirteen million, one hundred sixty-one thousand, three hundred five".